872024819904 has 672 divisors, whose sum is σ = 3114739008000. Its totient is φ = 238238558208.

The previous prime is 872024819881. The next prime is 872024819959. The reversal of 872024819904 is 409918420278.

872024819904 is a `hidden beast` number, since 8 + 72 + 0 + 2 + 481 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262735557 + ... + 262738875.

Almost surely, 2^872024819904 is an apocalyptic number.

872024819904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872024819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557369504000).

872024819904 is an abundant number, since it is smaller than the sum of its proper divisors (2242714188096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872024819904 is a wasteful number, since it uses less digits than its factorization.

872024819904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 872024819904 in words is "eight hundred seventy-two billion, twenty-four million, eight hundred nineteen thousand, nine hundred four".